Some Convergence Properties for ψ-Mixing Sequences  

作　　者：Xue Jun WANG Shu He HU Xiao Qin LI Wen Zhi YANG 

机构地区：[1]School of Mathematical Science, Anhui University, Anhui 230039, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第3期443-450,共8页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10871001);Provincial Natural Science Research Project of Anhui Colleges (Grant No.KJ2010A005);Talents Youth Fund of Anhui Province Universities(Grant No.2010SQRL016ZD);Youth Science Research Fund of Anhui University (Grant No.2009QN011A);the Academic innovation team of Anhui University (Grant No.KJTD001B)

摘　　要：In this paper,we extend the Kolmogorov-type inequality to the case of ψ-mixing sequences.Moreover,we study the strong limit theorems for partial sums of ψ-mixing random variables.As a result,we extend the Khintchine-Kolmogorov-type convergence theorem,the three series theorem,Marcinkiewicz strong law of large number to the case of ψ-mixing sequences.In this paper,we extend the Kolmogorov-type inequality to the case of ψ-mixing sequences.Moreover,we study the strong limit theorems for partial sums of ψ-mixing random variables.As a result,we extend the Khintchine-Kolmogorov-type convergence theorem,the three series theorem,Marcinkiewicz strong law of large number to the case of ψ-mixing sequences.

关 键 词：Kolmogorov-type inequality Khintchine-Kolmogorov-type convergence theorem strong law of large numbers. 

分 类 号：O211.4[理学—概率论与数理统计]